Examples: Graph of a linear equation Video Lecture | Quantitative/Numerical Aptitude for Police Exams - Police Constable Exams

178 videos|107 docs|133 tests

FAQs on Examples: Graph of a linear equation Video Lecture - Quantitative/Numerical Aptitude for Police Exams - Police Constable Exams

1. What is a linear equation?
A linear equation is an equation that represents a straight line on a graph. It has the general form of y = mx + b, where m is the slope and b is the y-intercept.
2. How can I graph a linear equation?
To graph a linear equation, you need to identify the slope (m) and the y-intercept (b). Start by plotting the y-intercept on the y-axis, and then use the slope to find additional points to draw the line. Connect the points to create a straight line.
3. What does the slope of a linear equation represent?
The slope of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It determines how steep or flat the line is. A positive slope indicates an upward slope, while a negative slope indicates a downward slope.
4. How can I determine the y-intercept from a linear equation?
The y-intercept is the point where the line intersects the y-axis. In a linear equation, the y-intercept is represented by the constant term (b). To determine the y-intercept, set x = 0 and solve for y using the equation.
5. Can a linear equation have multiple solutions?
No, a linear equation typically has one solution. This is because a linear equation represents a straight line, and a line can intersect another line at most once. However, there are cases where the line overlaps or coincides with another line, resulting in infinitely many solutions.
178 videos|107 docs|133 tests

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